What is the range of f(x)=-\sqrt[65]{43x+45} ?

The range of f(x)=-\sqrt[65]{43x+45} is -infinity <f(x)<infinity

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range of f(x)=-\sqrt[65]{43x+45}

range

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

Inverse of

- \frac{x ^{65} + 45}{43}

Find the domain of each inverse function

Domain of

- \frac{x ^{65} + 45}{43} : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

x - 7

2 x - 7 = 0

f (x) = \frac{7 x}{x ^{2} - 25}

(1, - 1), (2, - 3)

\frac{x + 6}{x ^{2} - 36}

What is the range of f(x)=-\sqrt[65]{43x+45} ?
The range of f(x)=-\sqrt[65]{43x+45} is -infinity <f(x)<infinity